Tamilnadu State Board New Syllabus Samcheer Kalvi 11th Business Maths Guide Pdf Chapter 7 Financial Mathematics Ex 7.3 Text Book Back Questions and Answers, Notes.
Tamilnadu Samacheer Kalvi 11th Business Maths Solutions Chapter 7 Financial Mathematics Ex 7.3
Samacheer Kalvi 11th Business Maths Financial Mathematics Ex 7.3 Text Book Back Questions and Answers
Choose the correct answer.
Question 1.
The dividend received on 200 shares of face value ₹ 100 at 8% dividend value is:
(a) 1600
(b) 1000
(c) 1500
(d) 800
Answer:
(a) 1600
Hint:
Dividend = 200 × 100 × \(\frac{8}{100}\) = 1600
Question 2.
What is the amount related is selling 8% stacking 200 shares of face value 100 at 50?
(a) 16,000
(b) 10,000
(c) 7,000
(d) 9,000
Answer:
(b) 10,000
Hint:
Amount = 200 × 50 = 10000
Question 3.
A man purchases a stock of ₹ 20,000 of face value 100 at a premium of 20%, then investment is:
(a) ₹ 20,000
(b) ₹ 25,000
(c) ₹ 22,000
(d) ₹ 30,000
Hint:
Investment = Number of shares × Market value
= \(\frac{20000}{100}\) × 120
= 24000
Question 4.
A man received a total dividend of ₹ 25,000 at a 10% dividend rate on a stock of face value ₹ 100, then the number of shares purchased.
(a) 3500
(b) 4500
(c) 2500
(d) 300
Answer:
(c) 2500
Question 5.
The brokerage paid by a person on this sale of 400 shares of face value ₹ 100 at 1% brokerage:
(a) ₹ 600
(b) ₹ 500
(c) ₹ 200
(d) ₹ 400
Answer:
(d) ₹ 400
Hint:
Brokerage = 400 × 100 × \(\frac{1}{100}\) = ₹ 400
Question 6.
Market price of one share of face value 100 available at a discount of 9½ % with brokerage ½% is:
(a) ₹ 89
(b) ₹ 90
(c) ₹ 91
(d) ₹ 95
Answer:
(c) ₹ 91
Hint:
Market price = Face value – Discount + Brokerage
= 100 – 9½
= 100 – \(\frac{18}{2}\)
= 100 – 9
= ₹ 91
Question 7.
A person brought a 9% stock of face value ₹ 100, for 100 shares at a discount of 10%, then the stock purchased is:
(a) ₹ 9000
(b) ₹ 6000
(c) ₹ 5000
(d) ₹ 4000
Answer:
(a) ₹ 9000
Hint:
Face value = ₹ 100
Discount = 10%
Market price of a share = 100 – 10 = 90
Number of share = 100
Stock purchased = 100 × 90 = ₹ 9000
Question 8.
The Income on 7 % stock at 80 is:
(a) 9%
(b) 8.75%
(c) 8%
(d) 7%
Answer:
(b) 8.75%
Hint:
Income = \(\frac{7}{80}\) × 100
= 0.0875 × 100
= 8.75%
Question 9.
The annual income on 500 shares of face value 100 at 15% is:
(a) ₹ 7500
(b) ₹ 5000
(c) ₹ 8000
(d) ₹ 8500
Answer:
(a) ₹ 7500
Hint:
Income = \(\frac{n \times r \times F . V}{100}\)
= 500 × \(\frac{15}{100}\) × 100
= ₹ 7500
Question 10.
₹ 5000 is paid as perpetual annuity every year and the rate of C.I. 10%. Then the present value P of an immediate annuity is:
(a) ₹ 60,000
(b) ₹ 50,000
(c) ₹ 10,000
(d) ₹ 80,000
Answer:
(b) ₹ 50,000
Hint:
Question 11.
If ‘a’ is the annual payment, ‘n’ is the number of periods and ‘i’ is compound interest for ₹ 1 then future amount of the annuity is:
(a) A = \(\frac{a}{i}\) (1 + i) [(1 + i)n – 1]
(b) A = \(\frac{a}{i}\) [(1 + i)n – 1]
(c) P = \(\frac{a}{i}\)
(d) P = \(\frac{a}{i}\) (1 + i) [1 – (1 + i)-n]
Answer:
(b) A = \(\frac{a}{i}\) [(1 + i)n – 1]
Question 12.
A invested some money in 10% stock at 96. If B wants to invest in an equally good 12% stock, he must purchase a stock worth of:
(a) ₹ 80
(b) ₹ 115.20
(c) ₹ 120
(d) ₹ 125.40
Answer:
(a) ₹ 80
Hint:
Let x be B stock worth.
Then x × \(\frac{12}{100}\) = \(\frac{10}{100}\) × 96
x × 12 = 10 × 96
x = 80
Question 13.
An annuity in which payments are made at the beginning of each payment period is called:
(a) Annuity due
(b) An immediate annuity
(c) perpetual annuity
(d) none of these
Answer:
Annuity due
Question 14.
The present value of the perpetual annuity of ₹ 2000 paid monthly at 10 % compound interest is:
(a) ₹ 2,40,000
(b) ₹ 6,00,000
(c) ₹ 20,40,000
(d) ₹ 2,00,400
Answer:
(a) ₹ 2,40,000
Hint:
Question 15.
An example of a contingent annuity is:
(a) Life insurance premium
(b) An endowment fund to give scholarships to a student
(c) Personal loan from a bank
(d) All the above
Answer:
(b) An endowment fund to give scholarships to a student